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Finding the Fourth Proportional to 3,699.56, 5,541.11 and 3,411.46

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Solution

The fourth proportional to 3,699.56, 5,541.11 and 3,411.46 is: 5,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.56 : 5,541.11 = 3,411.46 : x
  2. Step 2: Convert to fraction form
    3,699.56/5,541.11 = 3,411.46/x
  3. Step 3: Cross multiply
    3,699.56x = 5,541.11 × 3,411.46
  4. Step 4: Simplify right side
    3,699.56x = 18,903,247.42
  5. Step 5: Solve for x
    x = 18,903,247.42/3,699.56
  6. Step 6: Final answer
    x = 5,109.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.